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Finding the Fourth Proportional to 54,171.98, 74,756.76 and 30,298.59

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Solution

The fourth proportional to 54,171.98, 74,756.76 and 30,298.59 is: 41,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,171.98 : 74,756.76 = 30,298.59 : x
  2. Step 2: Convert to fraction form
    54,171.98/74,756.76 = 30,298.59/x
  3. Step 3: Cross multiply
    54,171.98x = 74,756.76 × 30,298.59
  4. Step 4: Simplify right side
    54,171.98x = 2,265,024,420.97
  5. Step 5: Solve for x
    x = 2,265,024,420.97/54,171.98
  6. Step 6: Final answer
    x = 41,811.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.